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8 papers · 2 filters
QT-Symmetry and Weak Pseudo-Hermiticity
Ali Mostafazadeh
For an invertible (bounded) linear operator Q acting in a Hilbert space , we consider the consequences of the QT-symmetry of a non-Hermitian Hamiltonian $H:{\cal H}\to{\c…
Control of Optical Dynamic Memory Capacity of an Atomic Bose-Einstein Condensate
Devrim Tarhan, Alphan Sennaroglu, Ozgur E. Mustecaplioglu
Light storage in an atomic Bose-Einstein condensate is one of the most practical usage of these coherent atom-optical systems. In order to make them even more practical, it is nece…
Bose-Einstein condensate in a harmonic trap with an eccentric dimple potential
Haydar Uncu, Devrim Tarhan, Ersan Demiralp +1
We investigate Bose-Einstein condensation of noninteracting gases in a harmonic trap with an off-center dimple potential. We specifically consider the case of a tight and deep dimp…
Coherence lifetimes of excitations in an atomic condensate due to the thin spectrum
T. Birol, T. Dereli, Ö. E. Müstecaplıoğlu +1
We study the quantum coherence properties of a finite sized atomic condensate using a toy-model and the thin spectrum model formalism. The decoherence time for a condensate in the…
Path-Integral Formulation of Pseudo-Hermitian Quantum Mechanics and the Role of the Metric Operator
Ali Mostafazadeh
We provide a careful analysis of the generating functional in the path integral formulation of pseudo-Hermitian and in particular PT-symmetric quantum mechanics and show how the me…
Metric Operators for Quasi-Hermitian Hamiltonians and Symmetries of Equivalent Hermitian Hamiltonians
Ali Mostafazadeh
We give a simple proof of the fact that every diagonalizable operator that has a real spectrum is quasi-Hermitian and show how the metric operators associated with a quasi-Hermitia…